Invariant polynomials of the automorphism group of a compact complex manifold
type: Item
instance of: scholarly article
title: Invariant polynomials of the automorphism group of a compact complex manifold
zbMATH Open document ID: 0598.53055
author: Akito Futaki
author: Shigeyuki Morita
published in: Journal of Differential Geometry
publication date: 1985-01-01T00:00:00Z
review text: Let M be a compact complex manifold and h(M) the Lie algebra of all holomorphic vector fields on M. When \(c_ 1(M)>0\), the first author [Invent. Math. 73, 437-443 (1983; Zbl 0506.53030)] defined a character f: h(M)\(\to C\) which gives an obstruction to the existence of Einstein- Kähler metrics on M. The purpose of this paper is to give interpretations of f in terms of the Gysin map and in terms of secondary characteristic classes.
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 32M05
zbMATH DE Number: 3964931
zbMATH Keywords: automorphism group
zbMATH Keywords: complex manifold
zbMATH Keywords: Einstein-Kähler metrics
zbMATH Keywords: Gysin map
Wikidata QID: Q115187310
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214439469
OpenAlex ID: W1536738230
DOI: 10.4310/JDG/1214439469
description: scientific article; zbMATH DE number 3964931